Answer:
CI =(0.333, 0.480)
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as shown;
CI = p±Z * √p(1-p)/n±0.5/n
Z is the z-score at 90% confidence
p is the sample proportion
n is the sample size
Given n = 144, p = 0.4 and z-score at 90% CI = 1.645 (from z table)
Substituting this values;
CI = p ± 1.645*√0.4(1-0.4)/144 ±0.5/n
CI = 0.4 ± 1.645*√0.4(0.6)/144 ± 0.5/144
CI = 0.4 ±1.645 * √0.24/144 ± 0.00347
CI = 0.4 ±1.645 * 0.04087± 0.00347
CI = 0.4±0.06723±0.00347
CI =(0.333, 0.480)
The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11
You can just use the tn formula to solve this tn= t1 + (n-1)d
Answer: -3x²-9x+84
Step-by-step explanation:
Let the zeros be r1 and R2
The equation of a parabola going through those two zeros is
y=a(x−r1)(x−r2)